Question

Convert 4.27×10⁻⁹ m to nanometers.

A) 4.27×10⁹ nm
B) 4.27×10⁸ nm
C) 4.27×10⁻⁸ nm
D) 4.27×10⁻⁷ nm

Answer 1

To convert 4.27×10⁻⁹ meters to nanometers, multiply by the conversion factor of 10⁹ nanometers per meter, which cancels out the meters and gives you 4.27 nanometers.

Step-by-step explanation:

To convert 4.27×10⁻⁹ meters to nanometers, you need to understand the relationship between these units of length. We know from the provided information that 1 nanometer is equal to 1/1,000,000,000 meters. This can also be written as 10⁹ nanometers equaling 1 meter. Using this conversion factor, we can multiply the given value in meters by the conversion factor to find the equivalent value in nanometers.

To perform the conversion:

1. Start with the original measurement: 4.27×10⁻⁹ meters.
2. Multiply this number by the conversion factor 10⁹ nanometers/meter.
3. The meters units will cancel out, leaving you with the answer in nanometers.

Therefore, 4.27×10⁻⁹ m × 10⁹ (nm/m) = 4.27 nanometers.